GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 17 Apr 2021, 18:40
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
In how many ways can 3 portraits be mounted on 3 of the four walls ins
7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5115
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE:Education (Education)
Reviews Badge
In how many ways can 3 portraits be mounted on 3 of the four walls ins [#permalink] New post  17 Feb 2017, 00:57
2
Kudos
11
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

57% (01:05) correct 43% (01:12) wrong based on 202 sessions

Hide Show timer Statistics

In how many ways can 3 different portraits be mounted on 3 of the four walls inside a room???

A) 4
B) 6
C) 12
D) 16
E) 24

Source: http://www.GMATinsight.com
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
GMATinsight
Great Results (Q≥50 and V≥40) l Honest and Effective Admission Support l 100% Satisfaction !!!
One-on-One GMAT Skype classes l On-demand Quant Courses and Pricing l Admissions Consulting
Call/mail: +91-9999687183 l bhoopendra.singh@gmatinsight.com (for FREE Demo class/consultation)
SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l GMAT730+ESCP
FREE Resources: 22 FULL LENGTH TESTS l OG QUANT 50 Qn+VIDEO Sol. l NEW:QUANT REVISION Topicwise Quiz
Signature Read More
avatar
D
ganand
Manager
Manager
Joined: 17 May 2015
Posts: 235
Re: In how many ways can 3 portraits be mounted on 3 of the four walls ins [#permalink] New post  17 Feb 2017, 01:40
4
Kudos
GMATinsight wrote:
In how many ways can 3 different portraits be mounted on 3 of the four walls inside a room???

A) 4
B) 6
C) 12
D) 16
E) 24

Source: http://www.GMATinsight.com


Hi,

First, select 3 walls out of the 4 given walls = \(^4C_{3}\) = 4 ways

AND

Three different portraits can be arranged in 3! ways = 6 ways.

Total number of ways = 4 * 6 = 24 ways.

Thanks.
avatar
B
Jayeshvekariya
Intern
Intern
Joined: 03 Jan 2017
Posts: 28
Re: In how many ways can 3 portraits be mounted on 3 of the four walls ins [#permalink] New post  17 Feb 2017, 02:03
P1 has 4 options
P2 has 3 options
P3 has 2 options

So 4*3*2
24 option e

Sent from my MotoG3 using GMAT Club Forum mobile app
avatar
S
SeregaP
Manager
Manager
Joined: 03 Jan 2017
Posts: 126
Re: In how many ways can 3 portraits be mounted on 3 of the four walls ins [#permalink] New post  03 Mar 2017, 07:54
This is my approach:

As there are 3 walls there can be 3 places for portraits on each. So (3+3+3=9) 9C3=24

Hope this will help
User avatar
V
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 13829
Location: United States (CA)
Re: In how many ways can 3 portraits be mounted on 3 of the four walls ins [#permalink] New post  27 May 2019, 04:34
1
Kudos
Expert Reply
GMATinsight wrote:
In how many ways can 3 different portraits be mounted on 3 of the four walls inside a room???

A) 4
B) 6
C) 12
D) 16
E) 24

Source: http://www.GMATinsight.com


The number of ways to pick 3 walls from 4 is 4C3 = 4. Once 3 walls are picked, the number of ways to mount the portraits onto the walls is 3! = 6. Therefore, there are a total of 4 x 6 = 24 ways to mount 3 portraits on 3 of the four walls inside a room.

Answer: E
_________________

★ ★ ★ ★ ★   338 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (Pre-Launch)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Signature Read More
avatar
G
CEdward
SVP
SVP
Joined: 11 Aug 2020
Posts: 1608
In how many ways can 3 portraits be mounted on 3 of the four walls ins [#permalink] New post  01 Feb 2021, 11:18
ScottTargetTestPrep wrote:
GMATinsight wrote:
In how many ways can 3 different portraits be mounted on 3 of the four walls inside a room???

A) 4
B) 6
C) 12
D) 16
E) 24

Source: http://www.GMATinsight.com


The number of ways to pick 3 walls from 4 is 4C3 = 4. Once 3 walls are picked, the number of ways to mount the portraits onto the walls is 3! = 6. Therefore, there are a total of 4 x 6 = 24 ways to mount 3 portraits on 3 of the four walls inside a room.

Answer: E


Hi can someone help on this one? Why is it that 3 different portraits can be mounted on 3 walls 3! ways?
How come it's not 6! / 3! x 3! = 20 ways?

ppp ||| <---- 3 portraits and 3 divisors so 6!/3! x 3!

I guess the idea here is that there can be a maximum of one portrait per wall...
_________________
"Do not pray for an easy life, pray for the strength to endure a difficult one." - Bruce Lee
Signature Read More
User avatar
V
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 13829
Location: United States (CA)
Re: In how many ways can 3 portraits be mounted on 3 of the four walls ins [#permalink] New post  03 Mar 2021, 10:52
1
Kudos
Expert Reply
CEdward wrote:
ScottTargetTestPrep wrote:
GMATinsight wrote:
In how many ways can 3 different portraits be mounted on 3 of the four walls inside a room???

A) 4
B) 6
C) 12
D) 16
E) 24

Source: http://www.GMATinsight.com


The number of ways to pick 3 walls from 4 is 4C3 = 4. Once 3 walls are picked, the number of ways to mount the portraits onto the walls is 3! = 6. Therefore, there are a total of 4 x 6 = 24 ways to mount 3 portraits on 3 of the four walls inside a room.

Answer: E


Hi can someone help on this one? Why is it that 3 different portraits can be mounted on 3 walls 3! ways?
How come it's not 6! / 3! x 3! = 20 ways?

ppp ||| <---- 3 portraits and 3 divisors so 6!/3! x 3!

I guess the idea here is that there can be a maximum of one portrait per wall...


Response:

As a matter of fact, you are correct; the question should have said “one painting per wall.” However, your answer of 20 is not the correct answer for that scenario (unless the paintings are identical, which we know is not the case). If we can mount more than one painting per wall, the number of ways should increase. If that was the case, you would solve “prq |||” instead of “ppp |||”.
_________________

★ ★ ★ ★ ★   338 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (Pre-Launch)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Signature Read More
GMAT Club Bot
gmatclubot
Re: In how many ways can 3 portraits be mounted on 3 of the four walls ins [#permalink]
03 Mar 2021, 10:52
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9728 posts
Bunuel
Math Expert
74483 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2445 posts
generis
Senior SC Moderator
4669 posts
Feedback

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions